Boletim da Sociedade Paranaense de Matemática (Nov 2008)

Weighted Sobolev Spaces and Degenerate Elliptic Equations

  • Albo Carlos Cavalheiro

Journal volume & issue
Vol. 26, no. 1-2
pp. 117 – 132

Abstract

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In this paper, we survey a number of recent results obtained inthe study of weighted Sobolev spaces (with power-type weights, A_p -weights, p-admissible weights, regular weights and the conjecture of De Giorgi) and the existence of entropy solutions for degenerate quasilinear elliptic equations.

Keywords